Monotonicity and separation for the Mumford-Shah problem
Annales de l'I.H.P. Analyse non linéaire, Tome 19 (2002) no. 5, pp. 631-682. 
@article{AIHPC_2002__19_5_631_0,
     author = {David, Guy and L\'eger, Jean-Christophe},
     title = {Monotonicity and separation for the {Mumford-Shah} problem},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {631--682},
     publisher = {Elsevier},
     volume = {19},
     number = {5},
     year = {2002},
     zbl = {1038.49022},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_2002__19_5_631_0/}
}
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David, Guy; Léger, Jean-Christophe. Monotonicity and separation for the Mumford-Shah problem. Annales de l'I.H.P. Analyse non linéaire, Tome 19 (2002) no. 5, pp. 631-682. http://www.numdam.org/item/AIHPC_2002__19_5_631_0/

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